Top person sorted by normalized score

At this site we keep several lists of primes, most notably the list of the 5,000 largest known primes. Who found the most of these record primes? We keep separate counts for persons, projects and programs. To see these lists click on 'number' to the right.

Clearly one 100,000,000 digit prime is much harder to discover than quite a few 100,000 digit primes. Based on the usual estimates we score the top persons, provers and projects by adding ‎(log n)³ log log n‎ for each of their primes n. Click on 'score' to see these lists.

Finally, to make sense of the score values, we normalize them by dividing by the current score of the 5000th prime. See these by clicking on 'normalized score' in the table on the right.

normalized person primes score 116157 Luke Durant 1 58.0015 27947 Curtis Cooper 8 56.5769 25149 Patrick Laroche 1 56.4714 20489 Jonathan (Jon) Pace 1 56.2664 17885 Ryan Propper 378 56.1305 4966 Tom Greer 126 54.8492 4014 Serge Batalov 402.333 54.6364 3447 Edson Smith 1 54.4841 3334 Odd Magnar Strindmo 1 54.4507 2188 Hans-Michael Elvenich 1 54.0294 1327 Dr. James Scott Brown 192 53.5298 1324 Steven R. Boone 1 53.5273 1278 Péter Szabolcs 1 53.4922 947 Antonio Lucendo 38 53.1920 870 Anonymous Person(s) 164 53.1077 747 Vaughan Davies 163 52.9542 731 Dr. Martin Nowak 1 52.9330 669 Mark Williams 21 52.8452 577 Josh Findley 1 52.6968 576 Valter Cavecchia 108 52.6951

Notes:

normalized score

Just how do you make sense out of something as vague as our 'score' for primes? One possibility is to compare the amount of effort involved in earning that score, with the effort required to find the 5000th prime on the list. The normalized score does this: it is the number of primes that are the size of the 5000th, required to earn the same score (rounded to the nearest integer).

Note that if a person stops finding primes, its normalized score will steadily drop as the size of the 5000th primes steadily increases. The non-normalized scores drop too, but not as quickly because they only drop when the person's primes are pushed off the list.